The　topology　optimization　model　of　continuum　structures　with　stress　and　displacement　constraints　is　formulated,　applying　ICM　(Independent　Continuous　and　Mapping)　method　of　high　accuracy　approximation,　in　which　the　exponential　type　function　is　adopted　as　fast　filter　function.　Stress　constraints　are　globalized　by　use　of　structural　distortional　strain　energy　density.　Displacement　constraint　is　explicited　by　use　of　unit　virtual　load　method.　The　constraints　limit　values　are　normalized　to　solve　the　order　mismatch　problem　of　two　kinds　of　constraints.　The　parameter　selection　of　fast　filter　functions　of　exponential　type　with　different　properties　is　given.　The　examples　of　single　loading　case　and　multiple　loading　case　have　shown　that　the　ICM　method　of　high　accuracy　approximation　is　available　and　efficient　to　solve　the　topology　optimization　of　continuum　structures　with　multiple　constraint　types.